Abstract
In this paper, we introduce a Darboux helix to be a curve in 3-space whose Darboux vector makes a constant angle with a fixed straight line. We completely characterize Darboux helices in terms of and thus prove that the class of Darboux helices coincide with the class of slant helices. In special, if we take = constant, the curves are curve of constant precession.
In this paper, we introduce a Darboux helix to be a curve in 3-space whose Darboux vector makes a constant angle with a fixed straight line. We completely characterize Darboux helices in terms of and thus prove that the class of Darboux helices coincide with the class of slant helices. In special, if we take = constant, the curves are curve of constant precession.
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Dr. Evren Ziplar. 2012. “. Global Journal of Science Frontier Research – F: Mathematics & Decision GJSFR-F Volume 12 (GJSFR Volume 12 Issue F13): .
Crossref Journal DOI 10.17406/GJSFR
Print ISSN 0975-5896
e-ISSN 2249-4626
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